No, it is not normal to have Galactorrhea, a milky discharge, from the breast unless you are breastfeeding.
This could be the sign of a Prolactinoma, prolactin-secreting tumor, of the brain or some other abnormal growth. Men usually present with impotence and not Galactorrhea. A simple blood test can check the Prolactin level to see if it is abnormally high.
If so, an MRI of the pituitary will help identify if a Prolactinoma or a brain abnormality is present. Medication can be prescribed to lower the blood Prolactin level and, eventually, stop the Galactorrhea.